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Finding the Fourth Proportional to 3,983.73, 5,497.11 and 2,412.06

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Solution

The fourth proportional to 3,983.73, 5,497.11 and 2,412.06 is: 3,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.73 : 5,497.11 = 2,412.06 : x
  2. Step 2: Convert to fraction form
    3,983.73/5,497.11 = 2,412.06/x
  3. Step 3: Cross multiply
    3,983.73x = 5,497.11 × 2,412.06
  4. Step 4: Simplify right side
    3,983.73x = 13,259,359.15
  5. Step 5: Solve for x
    x = 13,259,359.15/3,983.73
  6. Step 6: Final answer
    x = 3,328.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.